419718747042 has 192 divisors, whose sum is σ = 1088483235840. Its totient is φ = 114408467712.

The previous prime is 419718746957. The next prime is 419718747043. The reversal of 419718747042 is 240747817914.

419718747042 is a `hidden beast` number, since 4 + 1 + 97 + 1 + 87 + 470 + 4 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 419718747042.

It is not an unprimeable number, because it can be changed into a prime (419718747043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40017523 + ... + 40028009.

It is an arithmetic number, because the mean of its divisors is an integer number (5669183520).

Almost surely, 2^419718747042 is an apocalyptic number.

419718747042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 419718747042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544241617920).

419718747042 is an abundant number, since it is smaller than the sum of its proper divisors (668764488798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

419718747042 is a wasteful number, since it uses less digits than its factorization.

419718747042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 419718747042 in words is "four hundred nineteen billion, seven hundred eighteen million, seven hundred forty-seven thousand, forty-two".